Question # 1

The set {-1, 1} is

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Group under the multiplication

Group under addition

Does not form a group

Contains no identity element

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1/x

-x

2x

0.5 x

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n(A)

n(B)

0

1

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A

B

A'B'

B'A

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A = C

A = B

B = C

None of these

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A

A'

U

None of these

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{x|x∈R∧x≠x} is a

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Infinite set

Null set

Finite set

None of these

Given X,Y are any two sets such that number of elements in set X = 28, number of elements in set Y = 28, and number of elements in set X∪Y = 54, then number of elements in set X ∩ Y =

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4

3

2

1

Φ set is the _______ of all sets

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Subset

Union

Universal

Intersection

Empty set is

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Not the member of real numbers

Infinite set

Finite set

Not subset of every set

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A

B

U

None of these

The set {1, -1, 1, -1}, form a group under

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Addition

Multiplication

Subtraction

None

If D = {a} , the P(D) =

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{a}

∅

{∅,{a}}

{∅,a}

G = {e, a, b, c} is an Abelian group with e as identity element The order of the other elements are

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2,2,2

3,3,3

2,2,4

2,3,4

The set which has no proper subset is

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{0}

{}

{∅}

None of these

Z is a

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Infinite set

Finite set

Singleton set

Set of all integers

Under multiplication, solution set of is

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Groupoid

Abelian group

Semi group

All of these

The set of the first elements of the orders pairs forming a relations is called its

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Relation in B

Range

Domain

Relation in A

The negation of given number is a

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Binary operation

Unary operation

Relation

None of these

The set R is ........w.r.t subtraction

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Not a group

A group

No conclusion drawn

Non commutative group

If x = 1/x for x ∈ R then the value of x is

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±1

0

2

4

A monoid (G, *) is said to be group if

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have identity element

is commutative

have inverse of each element

None of these

The set (Z, +) forms a group

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Forms a group w.r.t. addition

Non commutative group w.r.t. multiplication

Forms a group w.r.t multiplication

Doesn't form a group

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The set of integer is

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Finite group

A group w.r.t addition

A group w.r.t multiplication

Not a group

Multiplicative inverse of 0 is

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0

1

+-1

Does not exist

P∉ A means

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Pis subset of A

Pis an element of A

P does not belongs to A

A does not element of P

To each element of a group there corresponds ............. inverse element

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Two

One

No

Three

Write down the power set of {9, 11}

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